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AUC Course: Electrons, Waves, and Relativity 2016 Wim Ubachs Relativity Problem set II 1) Time Dilation; discuss these issues in your group a) Does time dilation mean that time actually passes more slowly in moving reference frames or that it only seems to pass more slowly ? b) Suppose the speed of light were infinite. What would happen to relativistic predictions of time dilation and length contraction ? 2) Discuss and explain the “Barn & Ladder Paradox” See Lecture notes 3) Lifetimes of elementary particles An elementary particle travels at a speed of 2.70 x 108 m/s. At this speed the average lifetime is measured to be 4.76 x 10-6 s. What is the particles lifetime at rest ? 4) Lorentz invariance Show that the electromagnetic wave equation is invariant under the Lorentz transformation.